High School Math Guide

Modeling with Functions

Unit 8

MATH CORE STANDARDS III.F.BF.3 : Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the values of k given the graphs. III.F.BF.1b : Write a function that describes a relationship between two quantities. Combine standard function types using arithmetic operations. III. F.IF.7 : Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. III.A.SSE.1 : Interpret polynomial and rational expressions that represent a quantity in terms of its context • Understanding transformations on functions (I.F.BF.3, II.F.BF.3) • Recognize even and odd functions from a graph and as algebraic expressions (II.F.BF.3) • Graph functions with and without technology (I.F.IF.7, II.F.IF.7) • Use geometric descriptions of rigid motions to transform figures and predict the effect of transformation (I.G.CO.6) • Use function notation (I.F.IF.2) • Combine functions using arithmetic operations (I.F.BF.3, II.F.BF.1) • Graph functions showing key features (I.F.IF.7, II.F.IF.7) • Interpret key features of a graph (I.F.IF.4, II.F.IF.4) • Identify and use transformation of functions (I.F.BF.3, II.F.BF.3) • Identifying the parts of a linear, exponential, or quadratic expression, such as terms, factors, and coefficients (I.A.SSE.1, II.A.SSE.2) • Determining the real-world context of the variables, factors, or terms in an expression (I.A.SSE.1, II.A.SSE.1) • Understand that rewriting an expression can highlight quantities (7.EE.2) • Critical Background Knowledge